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3442147284 = 22317611631697
BaseRepresentation
bin1100110100101010…
…1111111111010100
322212220000012101110
43031022233333110
524022142203114
61325321055020
7151204524552
oct31512577724
98786005343
103442147284
111507003224
12800927470
1342b191b54
1424921cbd2
151522d0759
hexcd2affd4

3442147284 has 96 divisors (see below), whose sum is σ = 8701693056. Its totient is φ = 1055047680.

The previous prime is 3442147283. The next prime is 3442147327. The reversal of 3442147284 is 4827412443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442147283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2027524 + ... + 2029220.

It is an arithmetic number, because the mean of its divisors is an integer number (90642636).

Almost surely, 23442147284 is an apocalyptic number.

3442147284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442147284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350846528).

3442147284 is an abundant number, since it is smaller than the sum of its proper divisors (5259545772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3442147284 is a wasteful number, since it uses less digits than its factorization.

3442147284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 3442147284 is about 58669.8157829049. The cubic root of 3442147284 is about 1509.8824936702.

It can be divided in two parts, 344 and 2147284, that added together give a triangular number (2147628 = T2072).

The spelling of 3442147284 in words is "three billion, four hundred forty-two million, one hundred forty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 163 183 204 244 326 366 489 652 732 978 1037 1697 1956 2074 2771 3111 3394 4148 5091 5542 6222 6788 8313 9943 10182 11084 12444 16626 19886 20364 28849 29829 33252 39772 57698 59658 86547 103517 115396 119316 169031 173094 207034 276611 310551 338062 346188 414068 507093 553222 621102 676124 829833 1014186 1106444 1242204 1659666 1759789 2028372 3319332 3519578 4702387 5279367 7039156 9404774 10558734 14107161 16873271 18809548 21117468 28214322 33746542 50619813 56428644 67493084 101239626 202479252 286845607 573691214 860536821 1147382428 1721073642 3442147284